Answer: 11
Step-by-step explanation: You divide 495/45 and you get 11
<u><em>Answer:</em></u>
The shorter leg is
inches
<u><em>Explanation:</em></u>
The 30°-60°-90° is a special type of right-angled triangles
<u>It has the following special side length:</u>
The length of the side opposite to the 30° is
the length of the hypotenuse
The length of the side opposite to the 60° is
of the hypotenuse
<u>Now, we know that</u> the lengths of the sides in a triangle are proportional to the angles
<u>This means that</u> the shortest side will be the one opposite to the smallest angles
In our case, the shortest side will be the one opposite to the 30° angle
We are given that the hypotenuse of the triangle is
in
<u>From the above:</u>
Shorter leg = leg opposite to 30° =
inches
Hope this helps :)
Step-by-step explanation:
12y-(-4-8y)
= 12y +4 + 8y. ['-' getting multiplied when brackets open]
= 12y + 8y +4. [ Adding the like terms ]
= <u>20 y + 4 (Ans)</u>
Answer:
about 70 years
Step-by-step explanation:
Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...
e = 0.57t +80
We want to find when that is 120:
120 = 0.57t +80
40 = 0.57t
40/0.57 = t ≈ 70.2
About 70 years from 2009, humanity may achieve a life expectancy of 120 years.